Research

Research interest: My primary interest lies in Analysis and Partial differential equations. More precisely, I am broadly interested in the Calculus of Variation and Analysis of PDE models related to Fluid Mechanics and Celestial Mechanics. In addition, I hold an implicit and lukewarm interest in Optimization and Machine learning. 

Preprint

#1 A Classification Theorem for Steady Euler Flows   Tarek M. Elgindi, Yupei Huang, Ayman R. Said and Chunjing Xie.  arXiv preprint: arXiv:2408.14662

Publication

#1 Formation of singularity for the classical solutions of the rotating shallow water system. Yupei Huang and Chunjing Xie. Journal of Differential Equations 348 (2023): 45-65.

#2 Regular and Singular Steady States of 2D incompressible Euler equations near the Bahouri-Chemin Patch. Tarek, Elgindi and Yupei Huang. Archive for Rational Mechanics and Analysis 249 (1), 1-31

#3 On the rigidity of uniformly rotating vortex patch near the Rankine vortex   Yupei Huang. Nonlinearity(2025)

#4 H{ö}lder convergence of singular steady states to Bahouri-Chemin patch  Yupei Huang and Chilin Zhang. To appear in CVPDE.

Recent and Upcoming Talks:(not up to date; talks since April 2022)

1. 2022 June, Workshop on Small Scale Dynamics in Fluid Motion, Stony Brook University, New York.

2. 2023 July, Workshop on Recent Advances in PDEs,SJTU, Shanghai.

3. 2023 July, Analysis Seminar at Chinese Academy of Science, CAS, Beijing.

4. 2023, Sep, Graduate math conference in Triangle area, NC State, Rayleigh.

5. 2023, Nov, Analysis Seminar at University of Auburn, University of Auburn, Auburn